Magneto-Static Vortices in Two Dimensional Abelian Gauge Theories

被引：7

作者：

Bellazzini, Jacopo ^{[1
]}

Bonanno, Claudio ^{[1
]}

Siciliano, Gaetano ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat Applicata, I-56127 Pisa, Italy

[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2009年 / 6卷 / 03期

关键词：

Klein-Gordon-Maxwell equations; two dimensional vortex; SOLITARY WAVES; MAXWELL EQUATIONS;

D O I：

10.1007/s00009-009-0013-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e. when the electric potential phi = 0. This result, due to the lack of suitable embedding theorems for the vector potential A is achieved with the help of a penalization method.

引用

页码：347 / 366

页数：20

共 50 条

[41] Entanglement Entropy in Abelian Gauge Theories
Buividovich, P. V.
Polikarpov, M. I.
PHYSICS OF ATOMIC NUCLEI, 2009, 72 (09) : 1601 - 1605
[42] Entanglement entropy in Abelian gauge theories
P. V. Buividovich
M. I. Polikarpov
Physics of Atomic Nuclei, 2009, 72 : 1601 - 1605
[43] Loop equations in Abelian gauge theories
Di Bartolo, C
Leal, L
Peña, F
MODERN PHYSICS LETTERS A, 2005, 20 (35) : 2735 - 2743
[44] On Changing the Impedance of a Reactive Surface Using Magneto-static Responsive Particles
Cleveland, Jerika
Mitra, Dipankar
Lewis, Jacob
Braaten, Benjamin D.
Allen, Jeffery
Allen, Monica
2019 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION AND USNC-URSI RADIO SCIENCE MEETING, 2019, : 305 - 306
[45] Aspects of non-abelian gauge dynamics in two-dimensional N = (2,2) theories
Hori, Kentaro
Tong, David
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (05):
[46] PHOTON AS A GOLDSTONE BOSON IN (2 + 1)-DIMENSIONAL ABELIAN GAUGE-THEORIES
KOVNER, A
ROSENSTEIN, B
ELIEZER, D
NUCLEAR PHYSICS B, 1991, 350 (1-2) : 325 - 354
[47] ELECTRICALLY CHARGED VORTICES IN NON-ABELIAN GAUGE-THEORIES WITH CHERN-SIMONS TERM
DEVEGA, HJ
SCHAPOSNIK, FA
PHYSICAL REVIEW LETTERS, 1986, 56 (24) : 2564 - 2566
[48] Design of planar circuit structures with an efficient magneto-static field solver
Lindenmeier, S
Russer, P
1997 IEEE MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM DIGEST, VOLS I-III: HIGH FREQUENCIES IN HIGH PLACES, 1997, : 1807 - 1810
[49] CUT VERTICES AND DIMENSIONAL RENORMALIZATION IN NON-ABELIAN GAUGE-THEORIES
GUPTA, S
PHYSICAL REVIEW D, 1980, 21 (04) : 984 - 991
[50] Two-dimensional supersymmetric gauge theories with exceptional gauge groups
Chen, Zhuo
Gu, Wei
Parsian, Hadi
Sharpe, Eric
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 24 (01) : 67 - 123

← 1 2 3 4 5 →